Maths
Even and Odd Numbers
Learning Objectives
- Understand what even numbers are.
- Understand what odd numbers are.
- Identify even and odd numbers up to 50.
- Sort numbers into even and odd groups.
- Learn the quick trick to tell even from odd.
Let Us Begin!
Ravi has 6 sweets. He wants to share them equally with his friend Arjun. He gives 3 to Arjun and keeps 3. They both get the same! When we can share a number equally into two groups with nothing left over, it is an even number. If there is one left over, it is an odd number.
What Are Even Numbers?
Even numbers can be divided into two equal groups with nothing left over. They always end in 0, 2, 4, 6, or 8.
Even numbers up to 20:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
Example 1: Meena has 8 bangles. She puts 4 on her left hand and 4 on her right hand. No bangles left over. So 8 is even.
Example 2: A cricket team has 10 players practising in pairs. 10 ÷ 2 = 5 pairs. No one is left out. So 10 is even.
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
Example 1: Meena has 8 bangles. She puts 4 on her left hand and 4 on her right hand. No bangles left over. So 8 is even.
Example 2: A cricket team has 10 players practising in pairs. 10 ÷ 2 = 5 pairs. No one is left out. So 10 is even.
Even numbers from 20 to 50: 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50
What Are Odd Numbers?
Odd numbers cannot be divided into two equal groups. There is always 1 left over. They always end in 1, 3, 5, 7, or 9.
Odd numbers up to 20:
1, 3, 5, 7, 9, 11, 13, 15, 17, 19
Example 1: Sita has 7 ladoos. She tries to share equally with her sister. Each gets 3, but 1 ladoo is left over. So 7 is odd.
Example 2: There are 15 children in a line. If they try to make pairs, 7 pairs form but 1 child is left alone. So 15 is odd.
1, 3, 5, 7, 9, 11, 13, 15, 17, 19
Example 1: Sita has 7 ladoos. She tries to share equally with her sister. Each gets 3, but 1 ladoo is left over. So 7 is odd.
Example 2: There are 15 children in a line. If they try to make pairs, 7 pairs form but 1 child is left alone. So 15 is odd.
Odd numbers from 20 to 50: 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49
The Quick Trick — Look at the Last Digit!
To check if a number is even or odd, just look at the last digit (the ones place).
• If the last digit is 0, 2, 4, 6, or 8 → the number is EVEN.
• If the last digit is 1, 3, 5, 7, or 9 → the number is ODD.
• If the last digit is 0, 2, 4, 6, or 8 → the number is EVEN.
• If the last digit is 1, 3, 5, 7, or 9 → the number is ODD.
Is 36 even or odd? Last digit is 6. So 36 is even.
Is 47 even or odd? Last digit is 7. So 47 is odd.
Is 100 even or odd? Last digit is 0. So 100 is even.
Is 47 even or odd? Last digit is 7. So 47 is odd.
Is 100 even or odd? Last digit is 0. So 100 is even.
Even and Odd Numbers Table (1 to 30)
| Even Numbers | Odd Numbers |
|---|---|
| 2, 4, 6, 8, 10 | 1, 3, 5, 7, 9 |
| 12, 14, 16, 18, 20 | 11, 13, 15, 17, 19 |
| 22, 24, 26, 28, 30 | 21, 23, 25, 27, 29 |
Fun Facts About Even and Odd Numbers
Adding rules:
• Even + Even = Even (4 + 6 = 10 ✓)
• Odd + Odd = Even (3 + 5 = 8 ✓)
• Even + Odd = Odd (4 + 3 = 7 ✓)
Real-life examples:
• A ₹2 coin is even. A ₹5 coin is odd.
• Your house number might be even or odd!
• Cricket has 11 players — that's an odd number!
• Even + Even = Even (4 + 6 = 10 ✓)
• Odd + Odd = Even (3 + 5 = 8 ✓)
• Even + Odd = Odd (4 + 3 = 7 ✓)
Real-life examples:
• A ₹2 coin is even. A ₹5 coin is odd.
• Your house number might be even or odd!
• Cricket has 11 players — that's an odd number!
Key Words
| Word | Meaning |
|---|---|
| Even number | A number that can be divided into two equal groups (ends in 0, 2, 4, 6, 8) |
| Odd number | A number that cannot be divided into two equal groups (ends in 1, 3, 5, 7, 9) |
| Equal | The same amount on both sides |
| Divide | To split into equal groups |
| Last digit | The number in the ones place (rightmost digit) |
⭐ Key Points to Remember
- Even numbers end in 0, 2, 4, 6, or 8.
- Odd numbers end in 1, 3, 5, 7, or 9.
- Even numbers can be shared equally between 2 people.
- Odd numbers always have 1 left over when shared between 2 people.
- 0 is an even number.
- Just look at the last digit to tell if a number is even or odd.
- Even + Even = Even, Odd + Odd = Even, Even + Odd = Odd.
Practice Questions
A. Fill in the Blanks (10)
1. 6 is an number. (even / odd)
2. 13 is an number. (even / odd)
3. Even numbers end in 0, 2, 4, , or 8.
4. The next even number after 14 is .
5. The next odd number after 9 is .
6. 0 is an number.
7. The last digit of 38 is , so 38 is .
8. Odd + Odd = . (even / odd)
9. The smallest even number is .
10. There are even numbers between 1 and 10.
B. Choose the Correct Answer (MCQ - 5)
1. Which number is even?
2. Which number is odd?
3. Meena has 9 flowers. Can she share them equally between 2 friends?
4. What is 4 + 6?
5. How many odd numbers are there from 1 to 20?
C. Short Answer (5)
1. Write all even numbers from 1 to 20.
2. Write all odd numbers from 1 to 20.
3. Arjun has 14 marbles. Is 14 even or odd? Can he share them equally with his friend?
4. Sita has ₹25. Is this an even or odd number? How do you know?
5. Write the next 3 even numbers after 30.
D. True or False (5)
1. 22 is an odd number.
2. All numbers ending in 5 are odd.
3. 0 is neither even nor odd.
4. Even + Odd always gives an odd number.
5. 50 is an even number.
E. Match the Following (5)
| Column A | Column B |
|---|---|
| 1. 18 | a) Odd number |
| 2. 33 | b) Even number |
| 3. 40 | c) Odd number |
| 4. 27 | d) Even number |
| 5. 11 | e) Odd number |
🎨 Activity: Even or Odd Sort
Write the numbers 1 to 20 on small pieces of paper. Sort them into two piles: Even and Odd. Count how many are in each pile. Are there the same number in each pile?
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